Open AccessPointwise theorems for amenable groups
Author(s) -
Elon Lindenstrauss
Publication year - 1999
Publication title -
electronic research announcements of the american mathematical society
Language(s) - English
Resource type - Journals
ISSN - 1079-6762
DOI - 10.1090/s1079-6762-99-00065-7
Subject(s) - pointwise , mathematics , mathematical proof , ergodic theory , amenable group , discrete mathematics , pointwise convergence , pure mathematics , combinatorics , countable set , computer science , mathematical analysis , approx , operating system , geometry
In this paper we describe proofs of the pointwise ergodic theorem and Shannon-McMillan-Breiman theorem for discrete amenable groups, along Følner sequences that obey some restrictions. These restrictions are mild enough so that such sequences exist for all amenable groups.